TSTP Solution File: SET658+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:30:37 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 09:06:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.010000s
% 0.20/0.62 % Output :CNFRefutation 0.010000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.20/0.62 % Domain : Set Theory (Relations)
% 0.20/0.62 % Problem : Every R (X to Y) is (domain of R to range of R)
% 0.20/0.62 % Version : [Wor90] axioms : Reduced > Incomplete.
% 0.20/0.62 % English : Every relation R from X to Y is a relation from the domain of R
% 0.20/0.62 % to the range of R.
% 0.20/0.62
% 0.20/0.62 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 0.20/0.62 % : [Wor90] Woronowicz (1990), Relations Defined on Sets
% 0.20/0.62 % Source : [ILF]
% 0.20/0.62 % Names : RELSET_1 (20) [Wor90]
% 0.20/0.62
% 0.20/0.62 % Status : Theorem
% 0.20/0.62 % Rating : 0.06 v8.1.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.00 v6.1.0, 0.03 v6.0.0, 0.00 v5.4.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.00 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.00 v2.2.1
% 0.20/0.62 % Syntax : Number of formulae : 29 ( 2 unt; 0 def)
% 0.20/0.62 % Number of atoms : 106 ( 3 equ)
% 0.20/0.62 % Maximal formula atoms : 7 ( 3 avg)
% 0.20/0.62 % Number of connectives : 81 ( 4 ~; 0 |; 10 &)
% 0.20/0.62 % ( 9 <=>; 58 =>; 0 <=; 0 <~>)
% 0.20/0.62 % Maximal formula depth : 11 ( 6 avg)
% 0.20/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.62 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.20/0.62 % Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% 0.20/0.62 % Number of variables : 63 ( 55 !; 8 ?)
% 0.20/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %---- line(relset_1 - th(9),1916152)
% 0.20/0.62 fof(p1,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,set_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,binary_relation_type)
% 0.20/0.62 => ( subset(domain_of(C),B)
% 0.20/0.62 => ilf_type(C,relation_type(B,range_of(C))) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- line(relat_1 - df(4),1917872)
% 0.20/0.62 fof(p2,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,binary_relation_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,set_type)
% 0.20/0.62 => ( member(C,domain_of(B))
% 0.20/0.62 <=> ? [D] :
% 0.20/0.62 ( ilf_type(D,set_type)
% 0.20/0.62 & member(ordered_pair(C,D),B) ) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- declaration(line(relat_1 - df(4),1917872))
% 0.20/0.62 fof(p3,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,binary_relation_type)
% 0.20/0.62 => ilf_type(domain_of(B),set_type) ) ).
% 0.20/0.62
% 0.20/0.62 %---- line(relat_1 - df(5),1917958)
% 0.20/0.62 fof(p4,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,binary_relation_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,set_type)
% 0.20/0.62 => ( member(C,range_of(B))
% 0.20/0.62 <=> ? [D] :
% 0.20/0.62 ( ilf_type(D,set_type)
% 0.20/0.62 & member(ordered_pair(D,C),B) ) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- declaration(line(relat_1 - df(5),1917958))
% 0.20/0.62 fof(p5,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,binary_relation_type)
% 0.20/0.62 => ilf_type(range_of(B),set_type) ) ).
% 0.20/0.62
% 0.20/0.62 %---- line(relat_1 - axiom167,1917641)
% 0.20/0.62 fof(p6,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,set_type)
% 0.20/0.62 => ( ilf_type(B,binary_relation_type)
% 0.20/0.62 <=> ( relation_like(B)
% 0.20/0.62 & ilf_type(B,set_type) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- type_nonempty(line(relat_1 - axiom167,1917641))
% 0.20/0.62 fof(p7,axiom,
% 0.20/0.62 ? [B] : ilf_type(B,binary_relation_type) ).
% 0.20/0.62
% 0.20/0.62 %---- line(relset_1 - df(1),1916080)
% 0.20/0.62 fof(p8,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,set_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,set_type)
% 0.20/0.62 => ( ! [D] :
% 0.20/0.62 ( ilf_type(D,subset_type(cross_product(B,C)))
% 0.20/0.62 => ilf_type(D,relation_type(B,C)) )
% 0.20/0.62 & ! [E] :
% 0.20/0.62 ( ilf_type(E,relation_type(B,C))
% 0.20/0.62 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- type_nonempty(line(relset_1 - df(1),1916080))
% 0.20/0.62 fof(p9,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,set_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,set_type)
% 0.20/0.62 => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- declaration(op(cross_product,2,function))
% 0.20/0.62 fof(p10,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,set_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,set_type)
% 0.20/0.62 => ilf_type(cross_product(B,C),set_type) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- declaration(op(ordered_pair,2,function))
% 0.20/0.62 fof(p11,axiom,
% 0.20/0.62 ! [B] :
% 0.20/0.62 ( ilf_type(B,set_type)
% 0.20/0.62 => ! [C] :
% 0.20/0.62 ( ilf_type(C,set_type)
% 0.20/0.62 => ilf_type(ordered_pair(B,C),set_type) ) ) ).
% 0.20/0.62
% 0.20/0.62 %---- line(hidden - axiom168,1832648)
% 0.20/0.63 fof(p12,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ( ilf_type(C,subset_type(B))
% 0.20/0.63 <=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- type_nonempty(line(hidden - axiom168,1832648))
% 0.20/0.63 fof(p13,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ? [C] : ilf_type(C,subset_type(B)) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(tarski - df(3),1832749)
% 0.20/0.63 fof(p14,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ( subset(B,C)
% 0.20/0.63 <=> ! [D] :
% 0.20/0.63 ( ilf_type(D,set_type)
% 0.20/0.63 => ( member(D,B)
% 0.20/0.63 => member(D,C) ) ) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- property(reflexivity,op(subset,2,predicate))
% 0.20/0.63 fof(p15,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => subset(B,B) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(relat_1 - df(1),1917627)
% 0.20/0.63 fof(p16,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ( relation_like(B)
% 0.20/0.63 <=> ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ( member(C,B)
% 0.20/0.63 => ? [D] :
% 0.20/0.63 ( ilf_type(D,set_type)
% 0.20/0.63 & ? [E] :
% 0.20/0.63 ( ilf_type(E,set_type)
% 0.20/0.63 & C = ordered_pair(D,E) ) ) ) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- conditional_cluster(axiom171,relation_like)
% 0.20/0.63 fof(p17,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ! [D] :
% 0.20/0.63 ( ilf_type(D,subset_type(cross_product(B,C)))
% 0.20/0.63 => relation_like(D) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(hidden - axiom172,1832644)
% 0.20/0.63 fof(p18,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ( member(B,power_set(C))
% 0.20/0.63 <=> ! [D] :
% 0.20/0.63 ( ilf_type(D,set_type)
% 0.20/0.63 => ( member(D,B)
% 0.20/0.63 => member(D,C) ) ) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- declaration(line(hidden - axiom172,1832644))
% 0.20/0.63 fof(p19,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ( ~ empty(power_set(B))
% 0.20/0.63 & ilf_type(power_set(B),set_type) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(hidden - axiom173,1832640)
% 0.20/0.63 fof(p20,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ( ~ empty(C)
% 0.20/0.63 & ilf_type(C,set_type) )
% 0.20/0.63 => ( ilf_type(B,member_type(C))
% 0.20/0.63 <=> member(B,C) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- type_nonempty(line(hidden - axiom173,1832640))
% 0.20/0.63 fof(p21,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ( ~ empty(B)
% 0.20/0.63 & ilf_type(B,set_type) )
% 0.20/0.63 => ? [C] : ilf_type(C,member_type(B)) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(hidden - axiom174,1832628)
% 0.20/0.63 fof(p22,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ( empty(B)
% 0.20/0.63 <=> ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ~ member(C,B) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- conditional_cluster(axiom175,empty)
% 0.20/0.63 fof(p23,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ( empty(B)
% 0.20/0.63 & ilf_type(B,set_type) )
% 0.20/0.63 => relation_like(B) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(relset_1 - axiom179,1916330)
% 0.20/0.63 fof(p24,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ! [D] :
% 0.20/0.63 ( ilf_type(D,relation_type(B,C))
% 0.20/0.63 => domain(B,C,D) = domain_of(D) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- declaration(line(relset_1 - axiom179,1916330))
% 0.20/0.63 fof(p25,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ! [D] :
% 0.20/0.63 ( ilf_type(D,relation_type(B,C))
% 0.20/0.63 => ilf_type(domain(B,C,D),subset_type(B)) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- line(relset_1 - axiom180,1916334)
% 0.20/0.63 fof(p26,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ! [D] :
% 0.20/0.63 ( ilf_type(D,relation_type(B,C))
% 0.20/0.63 => range(B,C,D) = range_of(D) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- declaration(line(relset_1 - axiom180,1916334))
% 0.20/0.63 fof(p27,axiom,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,set_type)
% 0.20/0.63 => ! [C] :
% 0.20/0.63 ( ilf_type(C,set_type)
% 0.20/0.63 => ! [D] :
% 0.20/0.63 ( ilf_type(D,relation_type(B,C))
% 0.20/0.63 => ilf_type(range(B,C,D),subset_type(C)) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 %---- declaration(set)
% 0.20/0.63 fof(p28,axiom,
% 0.20/0.63 ! [B] : ilf_type(B,set_type) ).
% 0.20/0.63
% 0.20/0.63 %---- line(relset_1 - th(20),1916347)
% 0.20/0.63 fof(prove_relset_1_20,conjecture,
% 0.20/0.63 ! [B] :
% 0.20/0.63 ( ilf_type(B,binary_relation_type)
% 0.20/0.63 => ilf_type(B,relation_type(domain_of(B),range_of(B))) ) ).
% 0.20/0.63
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:98(EqnAxiom:46)
% 0.20/0.63 %VarNum:227(SingletonVarNum:74)
% 0.20/0.63 %MaxLitNum:6
% 0.20/0.63 %MaxfuncDepth:2
% 0.20/0.63 %SharedTerms:10
% 0.20/0.63 %goalClause: 48 50
% 0.20/0.63 %singleGoalClaCount:2
% 0.20/0.63 [47]P1(a1,a2)
% 0.20/0.63 [48]P1(a3,a2)
% 0.20/0.63 [50]~P1(a3,f24(f4(a3),f13(a3)))
% 0.20/0.63 [49]P1(x491,a12)
% 0.20/0.63 [52]P5(x521,x521)+~P1(x521,a12)
% 0.20/0.63 [53]~P1(x531,a12)+~P2(f14(x531))
% 0.20/0.63 [63]~P1(x631,a12)+P1(f16(x631),f25(x631))
% 0.20/0.63 [51]~P2(x511)+P3(x511)+~P1(x511,a12)
% 0.20/0.63 [57]~P3(x571)+~P1(x571,a12)+P1(x571,a2)
% 0.20/0.63 [60]P3(x601)+~P1(x601,a12)+~P1(x601,a2)
% 0.20/0.63 [61]P3(x611)+P4(f15(x611),x611)+~P1(x611,a12)
% 0.20/0.63 [62]P2(x621)+P4(f7(x621),x621)+~P1(x621,a12)
% 0.20/0.63 [64]P2(x641)+P1(f8(x641),f21(x641))+~P1(x641,a12)
% 0.20/0.63 [76]~P1(x762,a12)+~P1(x761,a12)+P1(f17(x761,x762),f24(x762,x761))
% 0.20/0.63 [65]~P2(x651)+~P4(x652,x651)+~P1(x652,a12)+~P1(x651,a12)
% 0.20/0.63 [72]P5(x721,x722)+P4(f18(x721,x722),x721)+~P1(x722,a12)+~P1(x721,a12)
% 0.20/0.63 [74]P4(f9(x741,x742),x741)+~P1(x742,a12)+~P1(x741,a12)+P4(x741,f14(x742))
% 0.20/0.63 [82]P5(x821,x822)+~P1(x822,a12)+~P1(x821,a12)+~P4(f18(x821,x822),x822)
% 0.20/0.63 [84]~P1(x842,a12)+~P1(x841,a12)+~P4(f9(x841,x842),x842)+P4(x841,f14(x842))
% 0.20/0.63 [75]~P1(x752,a12)+~P1(x751,a12)+~P1(x751,f25(x752))+P1(x751,f21(f14(x752)))
% 0.20/0.63 [81]~P1(x812,a12)+~P1(x811,a12)+P1(x811,f25(x812))+~P1(x811,f21(f14(x812)))
% 0.20/0.63 [85]~P1(x851,a2)+~P1(x852,a12)+~P5(f4(x851),x852)+P1(x851,f24(x852,f13(x851)))
% 0.20/0.63 [93]~P1(x932,a2)+~P1(x931,a12)+~P4(x931,f4(x932))+P4(f22(x931,f10(x932,x931)),x932)
% 0.20/0.63 [94]~P1(x942,a12)+~P1(x941,a2)+~P4(x942,f13(x941))+P4(f22(f11(x941,x942),x942),x941)
% 0.20/0.63 [91]~P1(x912,a12)+~P1(x911,a12)+~P1(x913,f24(x911,x912))+E(f6(x911,x912,x913),f4(x913))
% 0.20/0.63 [92]~P1(x922,a12)+~P1(x921,a12)+~P1(x923,f24(x921,x922))+E(f23(x921,x922,x923),f13(x923))
% 0.20/0.63 [97]~P1(x972,a12)+~P1(x971,a12)+~P1(x973,f24(x971,x972))+P1(f6(x971,x972,x973),f25(x971))
% 0.20/0.63 [98]~P1(x982,a12)+~P1(x981,a12)+~P1(x983,f24(x981,x982))+P1(f23(x981,x982,x983),f25(x982))
% 0.20/0.63 [90]P3(x901)+~P1(x902,a12)+~P1(x903,a12)+~P1(x901,f25(f5(x903,x902)))
% 0.20/0.63 [95]~P1(x953,a12)+~P1(x952,a12)+~P1(x951,f24(x952,x953))+P1(x951,f25(f5(x952,x953)))
% 0.20/0.63 [96]~P1(x963,a12)+~P1(x962,a12)+P1(x961,f24(x962,x963))+~P1(x961,f25(f5(x962,x963)))
% 0.20/0.63 [68]~P4(x682,x681)+P2(x681)+~P1(x681,a12)+~P1(x682,a12)+P1(x682,f21(x681))
% 0.20/0.63 [69]P2(x691)+P4(x692,x691)+~P1(x691,a12)+~P1(x692,a12)+~P1(x692,f21(x691))
% 0.20/0.63 [87]~P3(x871)+~P4(x872,x871)+~P1(x871,a12)+~P1(x872,a12)+E(f22(f19(x871,x872),f20(x871,x872)),x872)
% 0.20/0.63 [71]P3(x711)+~P1(x711,a12)+~P1(x713,a12)+~P1(x712,a12)+~E(f15(x711),f22(x712,x713))
% 0.20/0.63 [88]~P1(x882,a2)+~P1(x881,a12)+~P4(f22(x881,x883),x882)+P4(x881,f4(x882))+~P1(x883,a12)
% 0.20/0.63 [89]~P1(x892,a2)+~P1(x891,a12)+~P4(f22(x893,x891),x892)+P4(x891,f13(x892))+~P1(x893,a12)
% 0.20/0.63 [83]~P4(x831,x833)+P4(x831,x832)+~P5(x833,x832)+~P1(x831,a12)+~P1(x832,a12)+~P1(x833,a12)
% 0.20/0.63 [86]P4(x861,x862)+~P4(x861,x863)+~P1(x861,a12)+~P1(x862,a12)+~P1(x863,a12)+~P4(x863,f14(x862))
% 0.20/0.63 %EqnAxiom
% 0.20/0.63 [1]E(x11,x11)
% 0.20/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.63 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.20/0.63 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.20/0.63 [6]~E(x61,x62)+E(f24(x61,x63),f24(x62,x63))
% 0.20/0.63 [7]~E(x71,x72)+E(f24(x73,x71),f24(x73,x72))
% 0.20/0.63 [8]~E(x81,x82)+E(f14(x81),f14(x82))
% 0.20/0.63 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.20/0.63 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.20/0.63 [11]~E(x111,x112)+E(f25(x111),f25(x112))
% 0.20/0.63 [12]~E(x121,x122)+E(f23(x121,x123,x124),f23(x122,x123,x124))
% 0.20/0.63 [13]~E(x131,x132)+E(f23(x133,x131,x134),f23(x133,x132,x134))
% 0.20/0.63 [14]~E(x141,x142)+E(f23(x143,x144,x141),f23(x143,x144,x142))
% 0.20/0.63 [15]~E(x151,x152)+E(f15(x151),f15(x152))
% 0.20/0.63 [16]~E(x161,x162)+E(f7(x161),f7(x162))
% 0.20/0.63 [17]~E(x171,x172)+E(f22(x171,x173),f22(x172,x173))
% 0.20/0.63 [18]~E(x181,x182)+E(f22(x183,x181),f22(x183,x182))
% 0.20/0.63 [19]~E(x191,x192)+E(f21(x191),f21(x192))
% 0.20/0.63 [20]~E(x201,x202)+E(f16(x201),f16(x202))
% 0.20/0.63 [21]~E(x211,x212)+E(f11(x211,x213),f11(x212,x213))
% 0.20/0.63 [22]~E(x221,x222)+E(f11(x223,x221),f11(x223,x222))
% 0.20/0.63 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 0.20/0.63 [24]~E(x241,x242)+E(f20(x241,x243),f20(x242,x243))
% 0.20/0.63 [25]~E(x251,x252)+E(f20(x253,x251),f20(x253,x252))
% 0.20/0.63 [26]~E(x261,x262)+E(f6(x261,x263,x264),f6(x262,x263,x264))
% 0.20/0.63 [27]~E(x271,x272)+E(f6(x273,x271,x274),f6(x273,x272,x274))
% 0.20/0.63 [28]~E(x281,x282)+E(f6(x283,x284,x281),f6(x283,x284,x282))
% 0.20/0.63 [29]~E(x291,x292)+E(f10(x291,x293),f10(x292,x293))
% 0.20/0.63 [30]~E(x301,x302)+E(f10(x303,x301),f10(x303,x302))
% 0.20/0.63 [31]~E(x311,x312)+E(f19(x311,x313),f19(x312,x313))
% 0.20/0.63 [32]~E(x321,x322)+E(f19(x323,x321),f19(x323,x322))
% 0.20/0.63 [33]~E(x331,x332)+E(f9(x331,x333),f9(x332,x333))
% 0.20/0.63 [34]~E(x341,x342)+E(f9(x343,x341),f9(x343,x342))
% 0.20/0.63 [35]~E(x351,x352)+E(f18(x351,x353),f18(x352,x353))
% 0.20/0.63 [36]~E(x361,x362)+E(f18(x363,x361),f18(x363,x362))
% 0.20/0.63 [37]~E(x371,x372)+E(f17(x371,x373),f17(x372,x373))
% 0.20/0.63 [38]~E(x381,x382)+E(f17(x383,x381),f17(x383,x382))
% 0.20/0.63 [39]P1(x392,x393)+~E(x391,x392)+~P1(x391,x393)
% 0.20/0.63 [40]P1(x403,x402)+~E(x401,x402)+~P1(x403,x401)
% 0.20/0.63 [41]P4(x412,x413)+~E(x411,x412)+~P4(x411,x413)
% 0.20/0.63 [42]P4(x423,x422)+~E(x421,x422)+~P4(x423,x421)
% 0.20/0.63 [43]~P2(x431)+P2(x432)+~E(x431,x432)
% 0.20/0.63 [44]P5(x442,x443)+~E(x441,x442)+~P5(x441,x443)
% 0.20/0.63 [45]P5(x453,x452)+~E(x451,x452)+~P5(x453,x451)
% 0.20/0.63 [46]~P3(x461)+P3(x462)+~E(x461,x462)
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(99,plain,
% 0.20/0.63 (P5(x991,x991)),
% 0.20/0.63 inference(scs_inference,[],[49,52])).
% 0.20/0.63 cnf(102,plain,
% 0.20/0.63 (P1(x1021,a12)),
% 0.20/0.63 inference(rename_variables,[],[49])).
% 0.20/0.63 cnf(104,plain,
% 0.20/0.63 (~P5(f4(a3),f4(a3))),
% 0.20/0.63 inference(scs_inference,[],[48,49,102,50,52,40,60,85])).
% 0.20/0.63 cnf(153,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[99,104]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.010000s
%------------------------------------------------------------------------------